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math.NA2005
Solution of polynomial systems derived from differential equations
E. L. Allgower, D. J. Bates, A. J. Sommese +1
Nonlinear two-point boundary value problems arise in numerous areas of application. The existence and number of solutions for various cases has been studied from a theoretical stan…
math.NA2005
Solving Polynomial Systems Equation by Equation
Andrew J. Sommese, Jan Verschelde, Charles W. Wampler
By a numerical continuation method called a diagonal homotopy we can compute the intersection of two positive dimensional solution sets of polynomial systems. This paper proposes t…